How can I get a copy of text messages that I accidentally deleted from a certain number?
Download a text backup/restore app from the Play Store, such as SMS Backup and Restore. Or start using Verizon's Integrated Messaging (where you could access copies of your texts on your computer).
Unless you had them backed up somewhere, they are gone, unfortunately. Obtaining copies of text messages from VzW requires a court order, and they'll only have the past 10-12 day's worth.
How do I go about backing up future text messages?